Pseudospin vortex-antivortex states with interwoven spin textures in double-layer quantum Hall systems

J. Bourassa, B. Roostaei, R. Côté, H. A. Fertig, and K. Mullen
Phys. Rev. B 74, 195320 – Published 13 November 2006

Abstract

Recent experiments on strongly correlated bilayer quantum Hall systems strongly suggest that, contrary to the usual assumption, the electron spin degree of freedom is not completely frozen either in the quantum Hall or in the compressibles states that occur at filling factor ν=1. These experiments imply that the quasiparticles at ν=1 could have both spin and pseudospin textures; i.e., they could be CP3 Skyrmions. Using a microscopic unrestricted Hartree-Fock approximation, we compute the energy of several crystal states with spin, pseudospin, and mixed spin-pseudospin textures around ν=1 as a function of interlayer separation d for different values of tunneling (ΔSAS), Zeeman (ΔZ), and bias (Δb) energies. We show that in some range of these parameters, crystal states involving a certain amount of spin depolarization have lower energy than the fully spin-polarized crystals. We study this depolarization dependence on d, ΔSAS, ΔZ, and Δb and discuss how it can lead to the fast NMR relaxation rate observed experimentally.

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  • Received 28 July 2006

DOI:https://doi.org/10.1103/PhysRevB.74.195320

©2006 American Physical Society

Authors & Affiliations

J. Bourassa1, B. Roostaei2, R. Côté1, H. A. Fertig3, and K. Mullen2

  • 1Département de Physique, Université de Sherbrooke, Sherbrooke, Québec J1K 2R1, Canada
  • 2Department of Physics, University of Oklahoma, Norman, Oklahoma 73019-0390, USA
  • 3Department of Physics, Indiana University, Bloomington, Indiana 47405, USA

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Issue

Vol. 74, Iss. 19 — 15 November 2006

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